Selling cover calls

Hello SOUN community! I have some questions about selling covered calls. I learned about derivatives in college but never conducted any option trades until now. Unfortunately YouTube and research hasn’t been able to give me a clear answer to my questions.

I’m selling a weekly CC in the money at a $13.5 strike price. My premium is $0.08 and my cost average is $12.7 and the stock price is low $12s.

If the stock goes lower does it reduce my premium? Are the premiums received partially each day until expiration? Is there anything important I should know before selling more CCs?

Note: I’m being rather cautious only doing weekly CCs due to the high volatility (who knows when the stock will bounce) and obviously I don’t want to lose my shares at a loss.

Any advice is much appreciated! Thank you!