Usually, steri-strips is not removed until they fall off by themselves. In your case, I would have removed it as well so I can clean the whole wound properly. If the treatment order says use steri-strips, I would call the doctor to get it changed.
Your skin tear is +MRSA. Did the doctor order Bactroban oint? If I were to recommend a Tx for your skin tear, I would recommend the following: LLE skin tear - Cleanse with NSS. Pat dry. Apply Bactroban oint. Cover with Vaseline gauze, 4x4. Wrap with Kerlix (Kling) BID, PRN x 14 days.
Do you have a wound care nurse in your facility? I would let her/him know if you have one.