Is a PSA rise from 5 to 16 after biopsy a sign for surgery?

Hi doctor,

I am 62 and have been on active surveillance for the last two years. My initial prostate biopsy was two years ago and showed one out of 10 needles cancerous, Gleason 6, slow growing and Prolaris test showing a medium growth rate. I had a second biopsy six months ago. Before the second biopsy, my PSA was 5 and four months after the second biopsy, my PSA was 16. My doctor recommended an MRI based on the elevated PSA.

An MRI was done two weeks ago. Prostate volume 81 cc, and two lesions were found. First lesion measuring 0.27 x 0.23 x 0.27 inch, Pi Rads 4, well contained mid gland and the second lesion 0.47 x 0.23 x 0.27 inch, ungraded, margins not sharply defined and a slight bowing of the capsule. I have had intermittent infections after the second biopsy and have been on a three-regimen of antibiotics. I have also experienced retrograde ejaculation after the second biopsy. I am thinking that the second biopsy caused my elevated PSA (5 to 16), swelling of my prostate and perhaps I can remain on active surveillance with antibiotics since the MRI showed my cancer being well contained. I am wondering if I should have surgery as recommended by my urologist to remove my prostate.

Kindly guide.