Sorry replacement batteries seem to be out of stock atm, but if you didn’t mistreat your phone you’ll still get one free of charge from support (you have 2 years warranty).
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With random things I assume you are talking about ghost touches? This could be related to the battery so hopefully it will be fixed once you get the new one.
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Yes there are lots of posts about GPS and I’m sorry that I can’t direct you to an easy fix for any GPS-related problem, but did you see the GPS Guide? I compiled some problems, workarounds and solutions there.
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Charging problems obviously could be related to the batter as well but just in case you’ll still have them afterwards take a look at the Battery Guide
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Unfortunately there is nothing that can be done about the camera and ram, since FP1 is not modular, but I hope you can live with that.
I’m sorry we got off on the wrong foot and I can guarantee you that the “real support” - unlike me - will stay friendly and calm all the time. 