Temp gauge will rise quickly then instantly pin in red and oil light comes on. Continue driving, after couple of minutes it will go down. The rise quickly and do it again, sometimes causes overheat sensor to cut engine out. Changed thermostat, still doing it.

The gauges rises fast and drops fast because there is air in the system. I would fill it first/purge the air out as it is running. If it still discharges on the floor, you might want to change the T stat and or water pump.

You need to find out why you have low oil pressure. It is normal that as engine rpm's increase, the oil pressure will rise- the oil pump is moving oil faster. Even though your light goes out, you could still have critically low oil pressure. There should be sufficient pressure at idle to keep the light off. The light will come on when your oil pressure is almost nil- I believe for some it's as low as 8 psi. Normally, oil pressure at idle is specified anywhere from 15 to 40 psi. You would have to check specifications for your Expedition. To verify oil pressure, hook up a mechanical gauge at the oil pressure sending unit on the engine block. Check with a local shop.

The causes run from easy, simple to budget busting ruin. Low oil level, wrong grade oil, real old oil, oil leaks, internal oil leaks, worn oil pump, worn crankshaft bearings. It was pretty common on older very high mileage cars to have a fluttering oil light at stops and idle. It was time for a rebuild, or time to look for another car.

let it cool,then take the cap off of the radiator,fill with antifreeze,run motor with cap off for 1 minute,shut off fill with anti freeze and put cover back on,if you continue having problems,replace the thermostat,if you have to keep refilling it,then you have a leak,check your radiator ,hoses and pump for leakage

For the stratus I recommend checking your fluids oil and antifreeze with luck neither looks like chocolate milk. If one does u have a head gasket problem very expensive repair . But on the positive side of things it could just be blocked up or low on antifreeze if antifreeze is low just add more

More than likely sounds like your heater core is bad or clogged, easy thing to do is have it backed flushed, also you may need to burp you cooling system it may have a air pocket due to the radiator change

Coolant level first, if it is good, start it up and watch the temp gauge, you need to see if the fan is coming on when it should. Look for leaks once the temp rises and pressure is built up. Check the hoses, coolant reservoir, radiator (the top is plastic and could leak at a seam as mine did) Another possibility is the fan clutch, check to see if the fan comes on once it gets warmed up.
Hope this helps. Cheers!

Could be the oil pressure sender has gone bad or worse case scenario the oil pump has worn out. Check the oil presssure sender first, if it is leaking around it then that is the cause, if not then you may be looking at an oil pump. Just had a 03 ram 2500 doing the same thing and it was the sender, but that was a hemi and it had 230000 miles and a month later had to replace the oil pump for same issue.

It has a leak. Fill up the radiator and the coolant tank. Then restart it and check for leaks.

change the thermostat and the temp gauge in the radiator

Is your coolant level normal? If so, is your coolant boiling over quickly?