Hello my name is***** do not rate until we are finished. I look forward to assisting and am very sorry to hear that you are having this problem. I want to warn you that it is possible you will need to replace a part in order to fix this. If you need a part you are still required to pay. There are a few different things that can cause this and a couple different parts so we would need to troubleshoot to find out for sure. An alignment would not fix this it is meant for things like the characters being out of place or ghosting. Have you tried cleaning it by hand yet?
It being new does not change the fact you may need a part. You said "At first it would not print. It now prints faintly." this is caused by a part inside your printer called the print head. The only thing it being new means is that it would be covered under warranty if you end up needing one. As I mentioned before an alignment is not going to fix this. So, have you tried cleaning it yet?