Will the HB51R have to be placed outside to work on dusk to dawn.

You will need an LED Bulb that states 'Dimmable'. They have different circuitry and a little more expensive.

https://www.google.com/search?q=dimmable+led+spotlights

..

ballast make the noise, especially when they age. an old ballast that is buzzing will not last long.

I do not have repair for defective timer.
Open following link for clear large-print instructions.
http://waterheatertimer.org/Program-wire-Utilitec-0192773.html

Add a comment about part of manual that does not work, for possible additional help.
1) Timer replaces single-pole light switch only.
2) Timer does not have a battery and must be wired correctly before programming can take place.
3) Choose either dawn-dusk or programmable on-off:
Timer can be set for dawn-dusk operation
-OR-
Timer can be set with 7-day on-off functions of your choice

Here is how it works. The push button repeats itself in following sequence (must plug in).
F 1 2 3 4 5 6 7 8 9 A d 1. 2. 3. 4. 5. 6. 7. 8. 9.

F: timer is off.
1 2 3 4 5 6 7 8 9: from dusk to dawn count down number of hours repeated every day. That's most useful to control outdoor lightings.
A: from dusk to dawn count down number of hours which is randomly selected by this timer. Which is usually for indoor use to turn lights on and off for number of hours. The randomly selected hours is a security feature so that lights on (on from dust, but off randomly) time shows no pattern to outsiders.
d: just on from dusk and off at dawn. It is also used to control outside lights but just a little wasteful in my opinion.
1. 2. 3. 4. 5. 6. 7. 8. 9.: meaning count down number of hours starts from the time when the button is pushed so that you can have a countdown timer at any time.

Here is how it works. The push button repeats itself in following sequence (must plug in). F 1 2 3 4 5 6 7 8 9 A d 1. 2. 3. 4. 5. 6. 7. 8. 9.
F: timer is off. 1 2 3 4 5 6 7 8 9: from dusk to dawn count down number of hours repeated every day. That's most useful to control outdoor lightings. A: from dusk to dawn count down number of hours which is randomly selected by this timer. Which is usually for indoor use to turn lights on and off for number of hours. The randomly selected hours is a security feature so that lights on (I believe the on time is within the range of 1 hour from dusk set by the timer) and off (it is randomly set, you can see the display blinking showing the selected countdown hours) shows no pattern to outsiders. d: just on from dusk and off at dawn. It is also used to control outside lights but just a little wasteful in my opinion. 1. 2. 3. 4. 5. 6. 7. 8. 9.: meaning count down number of hours starts from the time when the button is pushed so that you can have a countdown timer at any time.

Here is how it works. The push button repeats itself in following sequence (must plug in).
F 1 2 3 4 5 6 7 8 9 A d 1. 2. 3. 4. 5. 6. 7. 8. 9.

F: timer is off.
1 2 3 4 5 6 7 8 9: from dusk to dawn count down number of hours repeated every day. That's most useful to control outdoor lightings.
A: from dusk to dawn count down number of hours which is randomly selected by this timer. Which is usually for indoor use to turn lights on and off for number of hours. The randomly selected hours is a security feature so that lights on (on from dust, but off randomly) time shows no pattern to outsiders.
d: just on from dusk and off at dawn. It is also used to control outside lights but just a little wasteful in my opinion.
1. 2. 3. 4. 5. 6. 7. 8. 9.: meaning count down number of hours starts from the time when the button is pushed so that you can have a countdown timer at any time.

manual for HB51RC
http://www.intermatic.com/%7E/media/files/intermatic/products/instructions/timers/hb61rc%20-%20english.ashx
See timer at Amazon
http://www.amazon.com/Intermatic-HB61RC-Digital-Outdoor-Control/dp/B00004W4X5

Plug timer into outlet
Plug lights into timer
Timer turns on automatically at dusk unless you set override feature shown below

Timing cycle repeats each 24 hours
Use selector button to set timer
Timer must be reset after power outage or after unplugging timer.
Push selector button and choose one of following

F > Lights are OFF
O > Constant ON
1 through 9 > timer turns ON at dusk and turns OFF 1 to 9 hours later
d > timer turns ON at dusk and OFF at Dawn
1. through 9. > timer turns ON immediately and then turns OFF 1 to 9 hours later
Maximum wattage 1000
50 mini-bulb-string of Christmas lights is 25 watts

From these instructions, you should push button until 6 displays. Timer will turn ON at dusk and turn OFF 6 hours later
If timer.
If you want timer to turn ON immediately and turn OFF 6 hours later, push button until 6. shows in display.

If timer does not display or does not operate correctly, then timer is suspect. Return timer for another one.

manual for HB51RC
http://www.intermatic.com/%7E/media/files/intermatic/products/instructions/timers/hb61rc%20-%20english.ashx
See timer at Amazon
http://www.amazon.com/Intermatic-HB61RC-Digital-Outdoor-Control/dp/B00004W4X5

Plug timer into outlet
Plug lights into timer
Timer turns on automatically at dusk + override lets timer run during daylight hours
Timing cycle repeats each 24 hours
Use selector button to set timer
Timer must be reset after power outage or after unplugging timer.
Push selector button and choose one of following

F > Lights are OFF
O > Constant ON
1 through 9 > timer turns ON at dusk and turns OFF 1 to 9 hours later
d > timer turns ON at dusk and OFF at Dawn
1. through 9. > timer turns ON immediately and then turns OFF 1 to 9 hours later
Maximum wattage 1000
50 mini-bulb-string of Christmas lights is 25 watts