Will a crach reservoir casue coolant to not flow?

Cracked and leaking? No. The coolant will just expand, exit via the rad cap, flow to the overflow and leak. Once cooled down, the coolant will contract and you'll get air in the system from having less coolant.

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95 SLE... a keeper. 241k miles. Low and Slow.
97 BMW 528i
98 Infiniti vq35'd i30: 13.3@104mph, 30MPG Hwy (RIP)
02 Jag X-type
03 BMW M5
05 Chevy Cobalt LS
07 Infiniti G35s 6MT (Sold)
07 Ducati Monster S2R 800 with DS1000 swap
83 Yamaha IT175K
72 Yamaha DS7: '74 RD250 swap, JL chambers

Info on dropping a 92-99: Here.

Do I need the car running when opening the bleeding valve?

Yes, and it needs to get up to full temperature so the thermostat opens and that trapped air is expelled.

_________________

95 SLE... a keeper. 241k miles. Low and Slow.
97 BMW 528i
98 Infiniti vq35'd i30: 13.3@104mph, 30MPG Hwy (RIP)
02 Jag X-type
03 BMW M5
05 Chevy Cobalt LS
07 Infiniti G35s 6MT (Sold)
07 Ducati Monster S2R 800 with DS1000 swap
83 Yamaha IT175K
72 Yamaha DS7: '74 RD250 swap, JL chambers

Info on dropping a 92-99: Here.

I may be wrong, but I think you want to open the bleed valve before you get the engine up to operating temp.

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Resident Tightwad

Screw you, Photobucket.

Makes sense to me but I would open it 2x in that case. Once to have the water pump push the air out on top of the thermostat, shut it once that air is expelled, then open it again at full temp to ensure any air that was under the thermostat gets out.

Coolant funnel burping kits are a nice to have too. You can go to town squeezing the rad and heater core hoses to work the air out into the funnel without spilling anything.

_________________

95 SLE... a keeper. 241k miles. Low and Slow.
97 BMW 528i
98 Infiniti vq35'd i30: 13.3@104mph, 30MPG Hwy (RIP)
02 Jag X-type
03 BMW M5
05 Chevy Cobalt LS
07 Infiniti G35s 6MT (Sold)
07 Ducati Monster S2R 800 with DS1000 swap
83 Yamaha IT175K
72 Yamaha DS7: '74 RD250 swap, JL chambers

Info on dropping a 92-99: Here.