Manipulative physiotherapist like me,can push your bulged disc,back to it's normal place... Then, you can do elbow plank

Do gradually if there is no problem

First of all, whatever you are doing, you can do only when you don't have so much pain. If there is no pain then nothing to worry about which I can assume from your description. But there is a process of upgrading exercises, you can not directly jumo to high intensity exercises. Consult a fitness trainer if you don't have any pain or if it's there, then consult a physiotherapist.

There are grade wise exs to train tummy muscles (core muscles). Whatever, exs you are doing are fine but some are grade 2 and some are grade 3 (mix), so instead of haphazardly doing, please consult a nearby physio who can train you to strengthen your core as well as back musculature.

Yes you can do it but you must be start with lower pressure on back.

Chiropractic Mobilization will help. Do the cat/cow stretch. Get on all fours, with your arms straight and your hands directly under your shoulders; your knees hip-width apart.

You can do plank when you have discal issue but suggestive is give load progressively not on sudden note start with knee supported plank then progress to full plank

Yes you can do but SLR with 2 legs is not safe( depend on present condition) and cat &camel also not safe in acute phase. So will better to consult with nearby physiotherapist first and follow him/her.