What can I use as protective coating over paint on vanity top? (desk type)

Hi, I want to paint my name on a plastic trash bin. I thought of printing it in large letters on paper, cutting the letters, gluing the paper to the bin with white glu and after it dries, sand the exposed area slightly and spray paint or use oil paint and brush. Since white glue doesn't stick strongly to plastic, I can remove the paper easily. Is this a good approach? will the white glue hold the paint from going under the paper? Any other option that is easy enough?

Hello everyone. I recently hired a handyman to paint my bathroom and based on what I've read and others I've talked to, he may not have done it correctly. Here's the background: A 1972 bathroom with original paint peeling and small cracks on every inch of the walls, very ugly by sight and touch. Some chips off easily, majority is stuck on. The walls were covered with dust, some parts were dirtier than others and probably hasn't been properly cleaned or wiped in a long time. I had attempted to scrape the paint off myself and did a poor job, removing some paper off the drywall and tearing off the drywall tape that connected the corners. Knowing I was in over my head, I immediately sprayed Zinnser Stain/Sealant primer onto the areas I scraped and the rusted nail holes, then spackled using putty. Two days later I hired a professional. Here is what the painter did, in order: -Day 1: scraped the walls using a sanding pole -applied 1 coat of "topping mud" over entire walls -applied drywall tape over the joint/corners, then went home for the day -Day 2: lightly sanded the walls, using sanding pole -applied 1 coat of Zinnser Peel Stop Triple Thick primer We agreed I would finish the job painting it myself. So here is where I feel more needs to be done before I paint. Notice he didn't clean the walls first, didn't prime before topping mud, didn't remud the drywall tape before priming. The walls obviously look better than before (the cracks are less visible), but I'm afraid it will bleed through in a couple of years and we'll have to start over. Should I add another coat of primer? Would it help to spackle over the tape, or remud? How many coats of paint? Any advice is helpful. Thanks!!! Btw, I'm using Dunn Edwards Semi gloss paint.