You would think that vandal savage would be able to hire goons to stall KF considering he is the head of the light.
Yeah, that one's kind transparently "we haven't really established for our audience yet exactly who this guy is, let's adapt this story that had him in it". In universe, I suppose one could argue that he wanted to make sure it was a villain Kid Flash would stop for or that he was just having some fun, I guess.
Also, Count vertigo would go to all the trouble of getting those ice fortresses up but wouldn't it be easier to hold the hospital hostage or just set up some attack in the hospital that would delay the operation.
If a gang of thugs or low level super villains take the hospital that Queen Perdita is staying in hostage and prevent her surgery, everyone from hospital security up to the Justice League is going to look straight at her straight up super-villain uncle and think "gee, doesn't that work out well for him, ain't that a coincidence?" If a super villain attack grinds the better part of the United States to a halt, causing widespread damage and deaths, Queen Perdita is just one more unfortunate victim. Her uncle will likely get a second look, but no one would be able to concretely point at anything connecting him. Even super-villains require means, motive, and opportunity.
And it just seemed a bit odd that just because it was the parking level, goons were everywhere but once the heart got to the doctors, everything was ok? So the goons couldn't come up to the upper floors?
Securing and brawling in a parking garage is one thing, invading the lobby and O.R. of a major metropolitan hospital is quite another. Once you start involving large numbers of civilians, entering highly monitored areas, etc, you greatly increase the chances of bringing down cops or super heroes on your heads.
And if count vertigo was smart enough to plant a fake doctor in front of the hospital, you would think he could get plant someone to be part of the operation team.
There's a world of difference between hiring a guy to stand outside a hospital in scrubs and planting or subverting someone on a team of what has to be the absolute best doctors in the world that money can buy.
And urggg...batman.... You seriously got to be more suspiscious of people. You're the detective after all. Letting superboy join the team while suspecting he may be a mole and now not even suspecting hugo strange in this episode. I expected even a suspicous ook or glare from batman when strange states the ice villains have remained in their cells.
Why would he though, in universe? Hugo Strange is the warden of a prison and he just pretty conclusively demonstrated that his inmates were exactly where they were supposed to be. Batman said they were the five most likely candidates, not that they were the only people who could pull it off. For all Batman knows, this was the work of The Weather Wizard, Minister Blizzard, The Cryonic Man, The Blue Snowman, etc. The warden of a prison showing that his inmates haven't escaped isn't cause for suspicion.