COmputer, loose battery, defective battery/volt amps or loose wiring harness/ wires grounding out somewhere
ice in the fuel system
what would cause my car to run fine when it has first started up then after a while first gear will kinda bog down.
A cylinder misfiring can cause this sympton, check/replace spark plugs and plug wires. Also, sputtering and shaking can be caused by engine timing, have the timing checked. Another cause can be fouled fuel injectors on fuel injected vehicles.
probably the starter at least that is where I would start at anyway. I had the same problem but after so long the car would crank and I was told the starter but have not had problem again.
Yes, they could.
Yes, it can.
Well, voltage wise, you have a lot going on when your are cranking over the engine, so some flutter, or shake is normal.
check motor mounts
Engine mounts
Yes it will.
cause they do
You may need rotors
It would be highly unlikely.
No,but tires out of balance will cause this. Have them balanced and rotated.
Yes, either can cause a shake while driving.
yes
If it was big enough, yes