If birthday gifts are normal for you and your T, then go for it.

I gave my T 9 gifts for our "transition" day. She liked all of them. All of my gifts had a self-made element to it though. She said she appreciated it more than store bought things (just my T though). Anyhow, some people here on PC told me 9 gifts were too much. I asked T beforehand if 9 was too many, and she said that so long as she could carry it down to her car, it was okay.

The jar "might" be overwhelming. Have you ever told her you loved her? I've told my T twice. I personally don't feel the need to express it multiple times. Could you make the jar about how she's helped you? Or how she's a good T? I give my T compliments a lot. I know she likes knowing that she's doing good.

Only you know your T. If you think she'd be okay with the gifts, then go ahead and give them to her.