My right turn signal isn't working correctly. When I'm driving down the road my dashboard indicator for my right turn signal will turn solid green but wont flash, But when i turn my headlights on it will stay solid green even if i have my left indicator on and flashing when turning left or changing lanes, but neither of the two lights that are meant for the right turn signal wont even turn on if the headlights are on. But they will work for hazard signals but if the headlights are on they will flash in an odd pattern. Any help will be appreciated.

One of the most important safety systems in the car is the Turn signal system. It can help prevent accidents by signalling to other drivers on the road when you need to change course and which way you'll be turning. It is also required by law to have a car dashboard turn signal indicator that works properly. You will need to wire the indicator in your dashboard to the proper lights and locations in the car. For a standard turn signal indicator in which the turn signal lights are the brake lights, please check this link on how you can do this:
How to Wire the Turn Signal Indicator in the Dash

Do an online search for speedometer repair places. You can get yours rebuilt for a fraction of the price of new or junkyard

Wheel Speed Sensor is a possible

Have to check for codes & diagnose
the system,visual inspection important
with that as well

The turn signal indicator switch could be corroding (getting rusted on the inside). You could take it out & break the corrosion/rust & lubricate it with wd40 & put it back in..hopefully it solves the issue. If not, then you might need to get another indicator switch. You start off by taking off the steering wheel neck panels

Did you try turning the wheel/knob next to the head light switch? It's the dimmer for your interior lights. Sometimes that happens and some ppl don't know about it. Not sure how familiar you are with it so thought I'd throw that out there.

If the lights do work sometimes, then it's probably the turn signal switch/lever itself.

Well it isn't exactly "dangling". There is a clip that holds it to the Instrument Panel tie bar. (see diagram)

No - headlight ok.
The reason that the Right turn signal blinks fast is that there is half the normal load (resistance)
on the right side, since the Right front turn signal isn't working.
Since you replaced the Right front turn signal bulb, your problem lies in the bulb socket or
the wiring to the socket.
(1) try cleaning out the socket - there's probably a contact problem in the socket. You
may need to squeeze the contacts together to provide good contact to the socket contact.
(2) if contacts inside the socket are ok, try back-probing the socket - to make sure that the
socket is getting 12V DC to light the bulb. Replacing a bulb socket is easy, and commonly done.
Any auto parts dtore should be able to sell you a new socket - its just a matter of cutting out the
old one, and then splicing in the new one. Most shops will use small wire nuts, buried under several
wraps of E-tape (electrical tape).
(3) if bulb AND socket ok, you have the worst problem known to man - a wiring fault. In this case,
you'll want to run a new wire from the flasher module (under the dashboard) to the turn signal.

U WILL NEED TO REPLACE THE TURN SIGNAL SWITCH TO CORRECT THIS