@Akatsuki_Kojou Did you play on easy mode? I did initially at first, here's a few things about those quests, but if you played on normal then I guess you're bugged:
Maximum Drill: DOES NOT unlock on easy mode. See on easy mode, I think the problem is your score at the end of the stage is nAn, so it doesn't track your score on easy mode which seems to be the key to unlocking this. Try it on normal mode and see if it unlocks, that's what happened to me, it should unlock as soon as you've harvested 6000 minerals, you may spend your minerals, it doesn't have to be 6000 unspent minerals.
Annhilation: Same problem here, DOES NOT unlock on easy mode. HOWEVER, you can 3 stars on each stage on easy mode, then go back and beat them on normal without having to get 3 stars on each. When I switched over to normal, I was able to three star stages 1-9 but only got two stars on stage 10, but it unlocked for me anyways probably because I had already gotten 3 stars on easy mode.
Immaculate Victory: Can't vouch for this one here, I wasn't able to fulfill the requirements for it on easy mode before I switched over to normal, but I'm going to guess this one as well won't unlock on easy. I can confirm that it will unlock on normal mode, I did it on stage 8.
Could be bugs as well, but this was my experience.
So that's why I couldn't get the quests. TD are the most difficult games for me. Rather, I never played them much before I started doing quests after joining AG. I tried to hang on for one run on easy mode, but guess I need to play again later. Currently, I'm seriously considering leaving all the remaining TD quest games for the end.
I can't check this either I'm afraid... I already unlocked this Medal in-game before and it unlocked when I replayed a previously finished level along with "Blood on the Field" and "Impatient". =/
However, I think it should be 2000, as this is the amount mentioned in the game Medals. =)
I think Rookie Drill Quest might be bugged. It unlocks after the first level but not in-game until the second level. There is exactly the same number of users who have unlocked the first two quests. This remains the same even after the numbers has updated several times. Surely there should be a few who quit after the first level?
If I recall correctly, I too received Rookie Drill, Blood on the Field and Impatient immediately after completing the first level. Thought nothing of it since they are quite easy to obtain, but it is suspicious, I mean there aren't 20 waves in the first level to even earn impatient!
I got the first three quests just after playing the first level... Also, I got the last three "medals" when I completed the game in "Easy" mode, but I got the last three "quests" when I completed the game (every level) in "Normal" mode and got 3 stars.
I think some quests are bugged...
If you ever want me to test your quests before you launch them, I'll do it gladly!
Tip: For Deadly Strike (Kill 25 swarm invaders with a single air strike), I found this one easiest to complete one level one. Near one of the end waves (6,7, or 8) about 24 of one enemy along with 8 of another enemy come onto the field. I used the Rocket Strike to get the quest. It helps to have the rocket strike fully upgraded.
The enemies were weak and ran in tight pack (3 or 4 in one row). The missiles killed all 24 of the one type of enemy and then fire killed the 25th enemy from the other group (as there is a pause between when the two groups of enemies come out). But, this is how I got this one.
Oops, typo. Tip: For Deadly Strike (Kill 25 swarm invaders with a single air strike), I found this one easiest to complete on level one.
Also, I avoided building turrets near where the enemies entered the stage (I didn't put turrets in the two right-most turret locations that are in the middle of the map near the entrance).