Open Question: Does this sound like a snakebite or bat bite?

About 3 weeks ago i was at a local school field/play area with my hubby and child. it was around sundown, when i had to pee very urgently. my family was the only people around, and there were no bathrooms available. Not wanting to prematurely end the fun our toddler was having, my husband suggested I head down a little trail off the field and relieve myself. I said no. But after a few minutes my bladder over rode that decision. I walked down this trail and the woods were so thick that it was very dark and shady. I went a little ways down the trail, which was very dark and cavelike. I decided to head back a little bit closer and did my business. Im not sure if it was directly before or after, but I felt something brush against or lightly tap the back of my leg. It startled me so that I jumped. I thought something was behind me. I turned and looked, and didnt see anything, but then I really didnt know what I was looking for and It was pretty dark . I just hurried up and got back on the field. we stayed another 15 minutes and went home. When I got home my leg started itching and was a little sore, I looked and saw 2 puncture marks on my calf, about a centimeter apart. they were bleeding alot, and tingly/itchy. I felt a little weird for a few minutes, but nothing major. I wondered to myself it it could’ve been a snake bite. If it was it was obviously a non venomous one. But it was only yesterday I realized it could’ve been a bat. Rabies is increasingly common in my area. Does this sound like a non-venomous snake bite, a bite from a possibly rabid bat, or something else? Should I be worried ( I already am)?