Toddler busted lip

Patient: On Sunday, my two year old boy was playing outside he fell forward and busted his lip in the cement. I believed that he may have puncture into his lip with his teeth. I have cleaned and stopped the bleeding and iced it to reduce the swelling. Today is Wednesday, he head budded with my elbow on accident and it started to bleed again. I did stop the bleeding and iced it to read the swelling. It there a chance that I might be infected? Should I take him in to be seen?

Images:
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Doctor: