You're handwriting is nice.
I've learned cursive writing in school, we had to write cursive for years but mine looks awful. Like a 7 year old who just learned how to write 6 months ago. It just doesn't work when you're lefthanded and hold your hand like I do (underwriter)So I don't use it anymore but I can give you a few pointers on the capitol letters. I wish I had a scanner but I don't so I have to use paint.
Your capital T looks exactly like how I learned to write a capitol I. Simpel solution but hard to explain in English for me.
See attachment below.
The first is how I learned to write a capitol T. The second is how my F was supposed to look like, this just to show you how these letters relate. I like yours fine too.
The third is just a fancy capitol H, that's the one I'd use if my cursive looked even half decent. Yours is fine, I just put it in because that's one of my favorite shaped letters.

Your T is what I'd use as a I. For a J I'd make the same shape but the bottom of the letter would go under the line where the I would stay on the line. The vertical bit of the letter J is longer than it is with the I, otherwise they are the same.
I didn't manage to write a t and f in paint the way I learned it . But your t and f are fine and IMO more legible.
I hope I'm making myself clear.