I'm going to guess the old sink was porcelain or cast iron and the new one is cultured marble? If that's the case, the old one had an over flow hole at the top of the bowl so that is wouldn't over flow. That was the vent for the sink. Cultured marble ones don't so the water is trying to go down against air pressure. If this is the case, it can be fixed or at least helped. Message me back for the details.
The gurgling sound is caused by pressure in the engine coolant system(antifreeze) slowly releasing into the coolant overflow resevoir. Typically a faulty thermostat causes this sound.
it's clogged...
slowly
your winky will slowly decompose into incinerated little ashes and then your mother will slowly and seducingly lap it up
Toilets that bubble when flushed and drain slowly can be cause by different things, such as port holes that are clogged, a clogged drain line, the tank has a low water level, or a problem in the vent pipe. A plumber can check for the specific problem and fix it.
with the engine running , trans in park, SLOWLY turn steering wheel left almost all the way then right almost all the way and repeat. Gurgling sound will slowly disappear.
Unclog drain that both sinks drain into.
Clogged fuel filter or bad fuel pump.
no proper flow.partailly blocked pipes which fill up to capacity with shower water which eventually slowly drains; the flow from a flushing toilet after some time(you stated; 45 minutes) is simply because the shower wated has drained....clean the pipes check for roots from neighbouring trees/shrubs, remove ,seal the hole and the flow should normalise
idle jet is clogged
turn on the heat
You can usually Clean Crack out of your system by just drinking water. then you will have to go to the bathroom and then the crack will slowly come out of your system. It is what i learned from my health teacher.