I think your grafts will be fine- flagging tape is pretty strong, and was the first thing I learned to graft with.
As the others said, higher tends to work better. Personally I like to graft a little closer to the tree, and I like to place a chip behind the cleft graft to have a back up in case the cleft doesn’t take. Chip budding is quick and easy, and it only takes one bud; you can do it anytime the stock is active.
Here are a couple of links- the first is a little poorly done but useful, and the second a little better:
https://www.youtube.com/watch?v=jYAo8NzO6Pg
https://www.youtube.com/watch?v=T48uGvO5Er0
In the second one Hayes states that the timing is critical, but he is mistaken. Budding is typically (but not always) done in summer, but chipping is useful partly because it can be done in spring. I’ve done both. With chipping you do not need the bark to be slipping or even supple.