Pulses can be measured using markers in “zero span” mode. Resolution is about 5 nanoseconds.
FM linear chirp / triangular FM can also be viewed and measured using markers in zero span, up to 160 MHz bandwidth
Frequency hopping and pulsed radar: either real-time mode or zero span, depending on the metrics you need.
Barker code: We have wifi tools but no radar tools.
Comprehensive result table: no.
For radar-specific analysis, our hardware plus Sceptre software from 3 dB Labs is a go-to for a lot of people.