I have a Gretsch Clarophone that looks a lot like that one. It has the port holes too. My neck is maple, yours looks to be oak.
If you indeed have an oak neck you may have an english banjolele. Not much Maple there if any. They have autumn, no red leaves fall there. The porthles are still your best bet At identifying your beast. Many of thelinks folks have given you have lots of pictures. I haven't the time to look at much right now. The picture you found with the portholes a resonator may be a fancier version of what you have. You may have a Montgomery ward model too. They were retailers not mfrs.
Care of banjo family instruments. Think of yourself as a banjo mechanic, not a luthier.
1. First thing with a pencil mark the two corners of the bridge on the head. write this down and stick it in the case. banjos have variable scale lengths. some are better than others.
2.a Do you have a wrench for this banjo? If not get one. If more then one size is required get them all. remove the resonator. Look at tone ring or tone rim if there is one. Find the truss rod adjustment. don't mess with it but know where and what it is and think about how you might adjust it. Take your wrench and tighten the tensioning nuts. not 1,2,3,4,5,6,7,8,9,10 try 1,6,8,2,10,3,8,4,5 but not in order 1-10. Nuts should be snug. Repeat the tightening process when if it squeeks that is more than tight enough.
2.b Consider whether you want to put an old sock between the the neck tang and the head. If you want to do this later you'll have to remove the resonator again. The sock should be cotton, with at least one hole in it for the true Old Time sound. A piece of cheese cloth would do. Don't use a rough material or animal fiber sock. (silk is OK). The rough fibers can be a problem later. I wouldn't put a sock in yet though. I recently bought a Gold Tone BUC. I found some infants skivvies, they were loose. at least wrap them around the tang. The skivvies were fine, cotton. I took em out. BTW
strumsilly I love the BUC. I call him BUCaroo Banjolele. Replace the resonator.
3. Strings: If you replace the strings more than once a decade you will be banned from the players union. broken strings don't count.
4. Tuning Always tune up before you start playing. banjos rapidly change pitch because of the head. As a banjolele player you will spend half your time tuning and half your time playing out of tune! - True.
5. Wipe down your instrument and strings after playing. Keep a cotton or cheese cloth rag in the case. A sock with a hole in it works too. Hint, Hint.
6. Check the tension now and again. It helps.
7. Don't worry about wearing through the finish on the back of the neck. This will add to resale value even on a vintage instrument. Get you a cuppa coffee at least.