nodsocket I am using the Play store apk
What's a Play store apk if you're not using Play services? Aurora or something?
If I install a second instance of Signal, can I link it to my same phone number or do I have to have each instance on a separate account?
If you reinstall Signal you can use the same number of course. But only instance/number can be registered simultaneously. Check their backup options too.
then I'll try installing the APK
I'd go for their website APK this time as this one is tailor-made to run without Play and updates itself too. Although Aurora version shouldn't give you any grief either.
I think it's your VPN configuration like here.