trouble with my sbc 400

Problem 1: I have a small block chevy 400 bored 0.30 over and I have a stuck pushrod according to the guy that put my top end together. He told me to keep driving it and it will eventually unstick itself.
Problem 2: I just got a new starter and installed it, the car started up and ran. The next day I went to start it and the car wouldn't start. It sound like the starter was missing the flywheel, so I shimmed the starter and the car started. Two days later i tried to start the car and the same thing happened as before, I got the starter drag. It like the started won't stay lined up with the flywheel. I took the engine out and examined the flywheel and it does't seem warped nor is the teeth chewed on it. Could someone please help me out here?
Also, do I need to get a new pushrod and rocker arm set, if so what would do well with the heads I have which happen to be some 882's with the steam holes already drilled?

As in stuck in the pushrod guide hole or?????

What rocker arms to use is determined by the use of the engine----if it's just mild performance, street use the stock one's will do fine. There's a number of companies that make rocker and pivot ball sets that have the long slot in the rocker arm and pivot balls with good grooving to retain oil for lube.