Can my iPhone SE 3rd generation charge from a wireless charger stand?

It can charge from any QI compatible charger. See the following from iPhone SE - Technical Specifications - Apple

Fast‑charge capableUp to 50% charge in 30 minutes13 with 20W adapter or higher (sold separately)

Built-in rechargeable lithium‑ion battery

Wireless charging (works with Qi chargers14)

Note that the iPhone SE is not MagSafe compatible. You can use a MagSafe charger with it but if the stand the you want requires use of MagSage to hold the phone to the stand (e.g., if the stand hold the phone in the air at an angle) it won't hold the phone -- the phone will slide off.

I can't help much with that. My wife bought a Belkin wireless charger through Amazon several years ago It is only 5 watts but she's been happy with it. But I really can't say how it compares with current options.