Good work! Welcome to the fun journey of learning Japanese! I knew a guy who was Chinese Malay and spoke 6 other languages by the time we started studying Japanese together, and since he already knew hanzi he had no problem with kanji. You're already using kanji, so I'm guessing you might also already be familiar with the chinese characters? If that's so, your biggest hurdle is just going to be getting used to Japanese grammar.
I see a couple small issues with particles (don't worry, this takes a little practice!)
私の名前は ジェスです。- の marks the possesive "my" name, and です is the polite way to finish an "is" statement.
私のともだちになってください。- に is the "becoming" or "moving towards" particle, and useful for things like "please become/turn into my friend" or "going to tokyo" or "I gave a present to billy"
Feel free to ask any questions that arise, and again welcome.