Recently got a beater for basically nothing. Car runs fine.....strong too

But I notice 2 problems after driving it for 2 days.
1) Hard to start(at times) - cranks but won't fire. Already put in new NGK plugs. After 10-15 cranks, car finally turn over. See 2-3 seconds of smoke coming out of exhaust...is that normally cuz I step on the gas pedal too much?
2) I put in about 1 gallon of water in the radiator when I first got it, after 2 days, its gone. I didn't notice any leakage underneath. So this morning I decided to put in coolant and drove it for 10 minutes at 70mph, then the engine light came on. So its time to get some help before I ruin the engine.
Engine oil is clean.
Any suggestions?