I got a small cut on my penis shaft while shaving...

Treatment of small cutwound in penis shaft

Itt is expected during hair removal from penis. Based on your question, the cutwound was before two months ago thus do not worry and like conditions need no treatment with subsequent improvement for cut wound within days. If there is pain do not worry and you can take analgesic like ibuprofen 400 mg three times daily to relieve pain. swelling of veins is expected and do not cause harm. if your are worried you can visit your doctor for clinical evaluation.

Investigations to do

There is no need for investigations for like condition