05:38:01.764: Output 'adv_stream': Number of lagged frames due to rendering lag/stalls: 1960 (0.2%)
05:38:04.490: Video stopped, number of skipped frames due to encoding lag: 69278/929634 (7.5%)
Others can give you a more detailed answer, but it really looks like your computer is going to struggle at times no matter how few things you have running. 2 cores and 4 threads + Intel Integrated Graphics can handle day-to-day use, but for streaming I would expect it to drop frames from time to time. Also you are trying to do 60fps on this hardware... That sounds like a very bad idea. Try 30fps and see what happens.