You are trying new glaze applications/new glazes, so you are a beginner in that regard. You are experiencing what I used to tell (before I retired) my beginning pottery students, a "What you do is what you get" result. Then I'd explain why certain glazing problems occur and how to prevent them. You have been given some good advice here already. You are trying to get more even coverage.
Here's my addition:
I wax first so wax dries faster (on a dry pot). I then always very quickly rinse my pots and very quickly dry off with a clean, dry towel, to both remove dust and prevent the glazes from going on too thick (especially if overlapping/double dipping). I then wait a few minutes before glazing... (Other potters do it differently yet we are all making pots, so, whatever you like's okay as long as it's working.)
Brushing? Are you using a good, "fully charged" (full of glaze) "Mop" style brush? Google it to see. Use a mop brush and apply with pot either on a real good, heavy, long-spinning banding wheel, or place and center the pot on your potters wheel and turn slowly. Fewer brush strokes will show. I have applied glazes this way before (without adding fillers, since I like glazes to be a brush-able and dip/pourable), to fine result.
Better still, dip or pour or both.
Mix enough glaze to pour the inside. Fill to about half way, pour back out while turning pot to coat inside. Allow to dry. (Practice application on bisque ware/any suitable container half filled with water until you get the technique down.) Have enough glaze so you can dip the outside, holding the inside with both hands with fingers pointed outward if possible, keeping pot right-side up and horizontal. I dip in and out. I do not "count." That's because I have mixed my glazed to a thickness I desire, no "counting" is needed. Keeping the pot level, I dip in and out at a reasonable speed but not so fast as to splash or so slow as to saturate the pot with water.
Allow to dry. Touch-up the rim by scraping off (use a blade of some kind) uneven areas and painting/banding on - with a "fully-charged" brush (meaning one that holds enough glaze to make it around the rim) (use poters-wheel or banding wheel) about 3 med-thin coats to equal same thickness as poured/dipped glaze on pot.
If you don't have enough glaze to dip the outside, after glazing the inside as described above, place pot - upside-down - on a couple of dowels/small sticks over a container, and pour glaze over quickly, starting on one side. Best if you make it all the way around before the glaze "start" side dries.
Allow to dry. Clean foot completely (so you won't have to handle it much after finishing lip/rim), and scrap uneven areas off this blade where pot and dowels/sticks met to create even appearance. Or, use a scraper/blade to remove all glaze from rim/lip and apply fresh, even rim glaze with brush on banding wheel/potters-wheel.
These techniques make it easy to apply different glazes on inside than outside.
I suggest always finishing all glaze coats on the inside before glazing the outside, unless you are using dipping tongs. (Glossy glazes are desirable for the inside of functional ware.)
Dipping tongs are another story... "In and out and upside down" quickly enough that glaze is still flowing as the pot is removed thus evening out... Have sponge ready to dab glaze off bottom. Keep upside down until it dries enough to not drip when you turn it right-side up. I won't get into tongs any further for now. Decent tong glazing (sans "snake-bite" tong marks, etc.,) is a whole, long explanation.
Advice on your pots? When looking at people's pottery, look as closely at the foot and bottom as you do the rest of the pot. How did the potter complete the bottom? The shape and size of the foot in regards to the overall pot? Are there feet you like? Try them out on your pots. Footless? Fine, just remember the bottom of your pots is where one's name usually is, so be tidy. Good pottery designers have a 360 degree involvement with their pottery.
Also, Make lots of pots. The more clay that passes through your hands, the better you'll get.
Best of luck!