A paramedic shut the back doors of an ambulance and climbed into the front of van.
I think that should be "front of the van", although it does still seem odd to use van and ambulance interchangeably.
A part of Lois told her she should really run after it and insist she ride with Lex to the hospital.
Gag at the thought of her spending more time with the creep.
Except she really didn’t want to.

she does not want to spend time with Lex.
Lois wasn’t only tired of pretending Clark was two people,
It prevents her from kissing him every time she sees him.
she had spent more than enough time in Lex’s presence for one night.
Lois:although I am glad that for most of it I was much more in Clark's presence. I hope Clark really liked my dress.
She knew this would be her one night off the grid.
She should have insisted that she needed a little first aid for her hurt wrists, and gotten Clark to take her to his apartment.
Lex wouldn’t expect her to be home in bed,
Hopefully Ariana has him too distracted to think about that.
and even if he did, he would be too busy to check up on her.
Ariana:Well, I am trying to assure that.
She could easily spend the night elsewhere and tell Lex,
Lois:Clark, you have such a nice bed.
should he ever be crass enough bring up the subject,
I think that should be "enough to bring".
that she was busy working all night
Lois:Well, if I was Linda it would have been working.
on the investigation of the terrorists without a cause
Sort of like James "Rebel without a cause" Dean, only they do even worse things.
(besides robbery, and was robbery enough of a ‘cause’ to consider them terrorists still?).
I always thought the key to being a terrorist was creating terror, not having a reason behind it.
She only hoped that she and Clark could finish their multiple assignments quickly enough to spend some time together by dawn
She really does want to sleep with him.
and that they weren’t too exhausted to do more than share a lingering kiss.

they are going to really talk.
Lois:Talk, who said anything about talk. I am going to do.