The door lock is not in any way connected to the alarm. It is a separate issue. With a lot of keyless entry cars, the key lock rarely gets used, so it accumulates dirt and corrosion, and will not turn. There are threads here on best methods to clean and lubricate the lock. Recommend you do that, to knock that problem down, at least. The other is a bit more perplexing. I have ideas on it, but I will defer to those who have dealt with similar issues.