The plants will not do well in that terrarium.
They've *GOT* to have sufficient light or they will simply dwindle away to not being much. You've already experienced this happening...as you wrote,
"There used to be a field of red drosera's in my terrarium but now they are all gone. I used a 1000 lumens growlight...".
You could get two regular, household 100-watt-equivalent LED lights. These would use roughly 23-25 watts of actual power. Choose a daylight temp, maybe in the 4500k-5000k temperature range. These would generate roughly 1600 lumens each, so 3200 lumens side-by-side. Line the top edge of the jar (where you have the strip lights) with aluminum foil so as to direct stray light downward to the plants. A very small fan would be a nice touch to move the air a little.
Just did a browsing for burmanii here in the states and it looks like they sell for $8 to $10 here, so $5 isn't a bad deal.

Check out the seed bank, if you haven't yet. You can grow your own from seeds for only postage to and from the USA.

BUT, the seedlings will need good light.
Seriously, I know I keep recommending better lighting but in the outdoors carnivorous plants grow out in full sun. If you have to grow them indoors then you will have to have a good light source for them...or they just won't do well.
I would second-think putting all of your plants in the terrarium...that's a small area for all those plants.
What about a large cage of some sort? A wire dog crate or something? Put the plants inside it, they get plenty of air and you have easy places to hang lights from inside. Around here, when I have plants outside, I have to be on the lookout for squirrels and birds that like to tear the plants up for one reason or another. I ended up making some very crude cages for them. Made from wire mesh that I had...you could use larger mesh, though if the cat was really devilish it could reach in through a large mesh opening. To make the vertical round cages simply figure the diameter you want and "roll" the amount of wire into a "ring"...attach the ends together with either heavy string or strands of wire. You can calculate the length of wire needed for a given radius (half the circle's diameter) by using the equation:
C=2*π*r . For a 20" diameter cage it would be C=2*π*10 ≈ 62.83185 inches of wire. For a 16" diameter cage it would be C=2*π*8 ≈ 50.26548 inches of wire. For a 10" diameter cage it would be C=2*π*5 ≈ 31.41593 inches of wire. There's calculators online for that (where I got the figures from, I'm no brain.<grin>).
The problem with a cat is they might want to climb to the top just for the sake of climbing. I think it's only a matter of time before the cat finds the top of your jar.

Maybe this summer I can build so "nicer" ones, but the cages in the photos I've attached work well for out on the old deck. Maybe dress them up a bit for indoors.
Bottom line, again, is more light...more air...and did I say...more light?
Best wishes!