Help with Amaryllis Pests

Help with Amaryllis Pests

Hello, I'm new to this community and gardening in general. I'm trying to cultivate my green thumb now, but I'm starting super slow. Since I used to kill everything I touch, I started with succulents. I've had my Kalanchoe for a year now and it's still going strong, so I've ventured into bulbs and seeds. Nothing much, I've just got three potted plants now: my Kalanchoe (probably a Kalanchoe blossfeldiana), an Appleblossom Amaryllis (Hippeastrum), and some assorted wildflower seeds (they should sprout in about a week or so). I'm worried about my Amaryllis, though. I got it as a bulb gift boxed set so it came with a pot, soil, and the bulb. I followed the instructions on the box, so now that I've done some research I'm afraid of rot root and the likes because the pot it came with doesn't have holes and I didn't put any pebbles on the bottom. It's not that I over-water; I'm just a worry wort. The few shoots it came with are just now getting green, so I could probably re-pot it without too much stress if you all think that's best. It also didn't have any roots when I got it. What I'm really worried about, though, is I've been finding these little bugs on the plant. Every time I find them I kill them, but I know I haven't killed them all yet. They're super small: the biggest ones are black and only about three to four millimeters long, and the smallest are of a light yellow hue and only about a millimeter long. The plant has small bubble looking damage, each bubble about pin sized, but I'm afraid of the damage increasing as the pests seem to live in between the layers. Is there anything I can do? I'm willing to work hard to try and save it.
Giant tomato

Giant tomato

The view from the back porch

The view from the back porch

beginner’s update

beginner’s update

new layout

new layout

What can I do ?

What can I do ?

Hi!

Hi!