Hello and welcome to HCM..
I thank you for posting your query here and I'm definitely going to help you out..
I being a surgeon, we encounter so many such cases day in and day out..
I read your question completely and have understood it well enough..
Well, I will analyze all your points and provide necessary explanation..
1. Unprotected sex and not on birth control..
Well this causes
pregnancy only if there is proper ejaculation of entire semen into the vagina.
This is not true in your case. So chill..
2. Urination doesn't have any effect on pregnancy.. Forget it..
3. Did not ejaculate you say.. How sure are you?
If you are 100% sure then even im 100% sure that your girlfriend will not be pregnant!
4. 5 seconds entry into vagina without ejaculation again suggests that there was no entry of sperm into vagina..
And hence, no chance of pregnancy..
5. Do not worry my dear friend, everything is normal and she can not be pregnant by any slight chance. I'm 100% sure of this..
Hope this helps you, in case you need any further assistance, please let me know..
Take care and God bless you.