Wont start when cold outside and jumping starter due to bad ignition switch, something else I need to jump also?

I call that chatter and means the starter solenoid
sees only 8vdc from the battery , cranked.
there are 6 causes, due to 6 things(parts) make cranking go.
why do all that,and not do jumper cable jump starts first. if works then battery is NO GOOD>in car.

posted this 100s times.
both cable ends (x4) not loose or rusty.to bat.
1: battery good means alternator not bad too.
load test the battery or jump cable jump it.
we know the starter is good, last words of your post.
2: then key switch good, and ST pin sends 12vdc
to the PRNDL switch.
3:PRNDL on/in the tranny must work in park and neutral both so all techs and tow truck mean test neutral cranking next or gets egg in face.
4: next up (it is a series path of DC ST )
the starter relay closes, called energizes.
and sends 12vdc to the soleniod and starter cranks.
5: starter bad , no it is not.
6: wires bad.(and or connectors)
did not jump start your car
did not charge battery and load test it. oops

comments:
NO 15 year old battery is good, my 50 year record is 10 years life, (and not common)
did not crank in N neutral PRNDL.
did hot wire starter and starter is loaded for bear (good)
and wires. yes can fail #6
so all techs know that and out pops Mr./ DMM set to volts to find where the path fails easy.
normal cranking voltage is 11vdc.
the 1 volt loss is battery internal resistance at 300amps load.
8vdc the solenoid chatters like mad. a huge key fact.
it only takes a voltmeter to find this failure.
after jumper cable jumps fail,
if not fail Jumped, the battery is bad,(or rusty lugs)

good luck , be happy for 6 and not 50 engine failures and lots of tests. that.

we charge the battery first then load test it , a tool..
or have shop test your battery ,even walked in.
or find a good battery out of 2nd good car. TRY IT.
or jumper cable jump start your car off 2nd running car just like AAA Auto club tow trunks do endlessly.
day by day.
or the voltmeter across battery terms (clean) show 8vdc cranking is a bad battery.

not withstanding driving car the battery dicharged dead , alternator dead.

Check starter relay. If okay. Check ignition barrel switch.

Well, start position is to start it and the run position keeps it running.

Double check all connections, make sure they are tight. Wire brush the battery connections, make sure the connections on the starter ore good and tight.

what transmission,?
this can be 3 things, if it wont jump and batter is good.
bad connections at battery or starter.
1: bad starter.
2: bad (A/T shift switch) or bad M/T clutch switch.
3 bad ignition switch.
4: bad wire or connections end to and start system.

hot wire the starter solenoid, if car starts (cranks) then its 2 o 3.

wont crank or wont start.??
no car starts , if it cant crank. (unless push starter (M/T magic)
that is not a trans sensor its the PRN switch.
ill answer for, wont CRANK !
it wont crank even with a good battery (charged) or jump started.
1: bad start
2: bad wires to same.
so hot wire the starter small wire, the key start line is tiny.
cranks. , starter good, no crank starter bad or cables bad.
if it cranks hot wired, then the key line is dead.
easy, huh?

bad battery or alternator

Probably a low battery--try jumping. If it will not jump, possibly a bad starter. See my tip at http://www.fixya.com/cars/r5821173-doesnt_car_start_gasoline_engines

sounds like your keys lost programming. will only start for about 2 seconds then shut off. security locked you out. will have to have your keys reprogrammed

Its likely that you have either a bad ignition switch or a bad neutral safety switch (if stickshift, clutch switch) Try starting in neutral...if it starts, change neutral switch (jump across clutch switch, check starting in neutral with your foot on the brake) Ignition switch is on top of steering column under dash.