Those are just normal requests from the launcher to the server.
Assuming you:
- Own and have installed the official game
- Have applied any downgrade patches (if needed) and got the success message after patching.
- Have the correct version of SPT for your client files
- Have correct permissions to the directory that SPT is setup
- Made sure your antivirus isn't interfering
I'm kind of at a lose. I can't think of anything that would be preventing it from starting the game that we know about. It's possible you have something on your end that is causing the issue, but I've no idea what it could be.
If you want, you can try deleting all your log files so they are fresh, and try starting the game again. Then provide any new logs that you have from SPT.
Unless there is something in them that can shed some light on what is happening, I'm not really sure where to go from here.