I have a singer 2732 machine and the bobbin case is popping out of place and binding the machine and breaking needles - how do I correctly install the bobbin case?

SOURCE: Bobbin case turns in its place

You need to remove the needle plate and take out the bobbin case. Examine it for any rough spots, scratches or burrs. When you find them, you will need to remove them with an emery stick and then buff it with very fine steel wool. Reinstall the bobbin case and the needle plate. Put the bobbin in the machine so that it turns counter clockwise when you pull the thread. Rethread the top of the machine and change the needle. Hold the needle thread , turn the handwheel and see if the bobbin thread is picked up without snagging anyplace. If it's okay, sew away.
sewman7

SOURCE: singer 758 breaking needle

Machine breaks needles
1.make sure you are using the right needle for your type of sewing machine.
. There are cases where the machine will only use ones specified in the owners manual.
2.the presser foot may not be installed properly
3.use the correct needle for the type of fabric you are working with. To fine of needle on heavy fabric or to course a needle on silk or jersey can damage fabric.
4.let the feed dogs guide the fabric & the feed dogs will work with the presser foot .
5.the needle is not all the way in -push all the way up against the stop
6. Check top thread tension
7. machine could be out of time & need to be serviced

SOURCE: singer quantum xl-600 bobbin case spinning

sounds to me like you need a professional cleaning and timing adjustment.

SOURCE: I 've been using this 2639 Singer since 2006. It was working perfect until one day the bobbin case popped up away from the shuttle causing the needle to be blocked from moving. So, I removed the p

First change that needle. It's likely bent. A bent needle won't create a stitch.

Then double check your timing. It sounds like you have it ******** a bit... But that's hard to determine from a description. Before you start the timing process, make sure that your needle bar is in the correct position. (typically the upper timing mark on the needle bar is just below the lower needle bar guide when the needle is at its very lowest point) If necessary loosen the needle bar holder and make a correction. Once the needle bar is positioned correctly... then move on to the shuttle/needle timing.

Good luck!