Since you have the pattern stuff down, it sounds to me like you have two problems... One is a sight picture issue, the other is an input issue.

First, learn the correct sight out the window in the flare and right at touchdown. The easiest way to do this is to have your instructor demonstrate the picture for an extended period.

I used to do this with students.. I would fly one trip around the pattern and touch down, but right at touchdown, I'd add a bit of power (about 200RPM) and keep the backpressure in. The mains would ride down the runway with the nosewheel 2-3 inches off the ground. We'd "pop a wheelie" for a few hundred feet, then add power and lift off again.

Obviously it's a technique that needs finesse, so be sure your instructor is comfortable doing it. (Although if they are a CFI, they should be). The biggest risk is misjudging and scraping the tail...

The other issue is the control issue. If you're moving the yoke too much right at touchdown, it can also mess things up. Be sure that the plane is trimmed out properly as you slow down, configure and fly around the pattern. Each time you change configuration or power setting you should retrim. Also make sure that you don't have a death grip on the yoke.

Finally, make sure your sight picture is correct. Ask your instructor to talk you through what they are looking at while they fly a landing. As I cross the end of the runway, my sight slowly transitions from my aiming point (leading edge of the 1st runway stripe) to my touchdown point (2nd stripe) to the middle of the runway and then the far end.

Our natural tendancy is to fly the airplane towards what we are looking at. If you're looking only 50' in front of the airplane during the flare, you'll underflare and hit hard. Conversely, if you're looking too soon at the end of the runway, you'll flare high and settle/stall onto the runway.

If you're getting frustrated, be sure to take a break and go do some maneuvers out in the practice area for one lesson. Soloing will come!