To check for pregnancy, I would recommend that you do a blood beta HCG test.
This can detect as early as a week following conception.
It is 4 or 5 times as sensitive as a urine test.
If you don't want to do this, then you can also use a sensitive urine test at this time.
I would recommend Clear Blue or First Response Early.
Use the first-morning urine and don't drink any extra water overnight.
If it is negative, wait 2 days and repeat it.
For the UTI, you can use nitrofurantoin, or go to your GP for a urine dipstick test.
The result will be available then and there.
If it shows increased white cells, it means you have a UTI.
I hope this helps?
Please let me know if you have any questions about this.