You don't get an infection from washing it, you get an infection from NOT washing it. For the first week, I wash it twice a day and put a little moisturizer on it 2 or 3 times a day. Key word being LITTLE. So many people post pics on here and the tattoo looks like it's swimming.
Keep it clean, but don't keep futzing with it and putting too much stuff on it. I'd just wash it a couple times of day and maybe use a dab of lotion once a day.
I dry heal—I just keep it clean with Dial Gold (maybe wash it twice a day), and let it heal. I don't put anything on it.
If it's not painful to the touch, hot, or oozing, you're probably fine. I think most pimples come from people slathering on aftercare products by the quart, but you're doesn't look bad. You use just enough moisturizer to keep the skin from drying out.