Chosen Solution

I took out the screws but it still doesn’t come out and I don’t know what it is holding it back

iFixit does not have a repair guide for this particular repair for this model, but I believe this teardown might be of some assistance to you: iPod Touch 2nd Generation Teardown

the headphone jack is soldered to the logic board (5 soldering “points” - on the left side of the headphone jack)

you have to take off the digitizer and unscrew the two screws by the headphone jack and replace it…im pretty sure at least