Yes my thoughts are you do not have enough cold water coming into the washer. That is why the three things you have explained is occuring. What I would do first is, unplug the washer, and shut the water off behind it, and take the hoses off of the washer, and look inside the valve, and you will see a screan, that filters the sand and sediment from getting inside your washer. I would clean them both, the hot water side and the cold water side. When you put the hose back on to the washer, run the water down the drain on the cold water, and the hot water before you hook it up to make sure you have plenty of water pressure. If you need me you can reach me at my web site at ApplianceEducator.com Tom | 
Neptune problems 
