Dirty water still when i wash clothes

yes probably...one thing to do is to remove the aerator's
from them open them up and see what happens. don't close them cuz if it's warming up we hope... it'll help them flow better to get the water moving thru the pipes.
if it is just one open the vanity doors, or any doors that contain the fixture plumbing. let some heat get in there.
is water ok running in other areas? or whole house?

If you can find the frozen section and it is easily visible, you should try to defrost it with a hair dryer. The problem will be finding it. It is likely behind sheetrock. If that is the case, then just raise the thermostat and keep the door open to allow for circulation of air in the room to defrost it. Something else you can do if you have an area sensitive to freezing in the house, is find a faucet near the washer and let the water run just a little (drip) to keep the water moving during deep frosts.

If the pipe that burst was spraying water onto the refrigerator, it is likely that some water got between the inner panels of the freezer door. This water then froze and expanded, pushing out the inner panel of the freezer.

Look it is not when thawing that they burst, if they were going to burst they would have done that already. The pipes burst when they freeze and the water expands, it just so happens you do not find that until you defrost the pipes and the water can flow. You really need to visually inspect all of your piping while it is defrosting and then isolate the leak for repair. If they were going to break they already did. Good luck and I am praying for you!!

You could, but bear in mind that it will be rinsing in hot water, so it could affect your washing.
I would suggest wrapping hot cloths round cold inlet hose and hope that will unfreeze it.
Also possible water could be frozen in the valve as well, which could burst when water unfreezes.

Could well be the case, there have been a lot of problems with frozen waser pipes.
Try wrapping hot cloths round pipe/s to see if that solves the problem.

make sure the water is not frozen

all front load washers have the problem. Mold and a build up or dirt and soap and fabric softner cause s old musty smell. The low water use makes the machine dirty and build up inside. Run a few Hot water washes with out clothing, Run it empty ,(run your hot water neer your washer to get the cold water out of the house pipes) hot water and pour bleach in side, 2 or more cups. Keep doing it. When your not using washer leave the door open so air can get inside. Hot wash,es with bleach will keep it clean, also dont use fab softner.

Your pipe to the water pump exit is probably blocked with bits of old fluff or missing sock, i found that the clothes had slimy bits on mine, i tilted it up and removed the rubber water exit pipe from under neath, cleaned out all the rubbish and works a treat now.