Hi,
the first question that comes to my mind: do you really need an ADC? If you want to measure the timing of those pulses, a fast comparator will do (e.g. LT1711).
Okay, maybe you need to detect the pulse and measure it's levels. Then, of course, you'll need an ADC. I just searched Mouser for ADCs with 500 MSa/s (I assume that's plenty for your application with 40ns pulses), and the first one I clicked (ISLA118P50) supports DC-coupling, hence arbitrarily low frequencies. Same for ADC08D500. You'll need a differential input amplifier, though, but that's not a big deal, and a common requirement for high-bandwidth DACs and ADCs. If 100..200MSa/s are sufficient, many ADCs can directly sample a DC-coupled signal.
No idea about your 2nd question, though, sorry.
Best regards,
GooGooCluster