If a country capable of ASAT suspected an opponent orbiter was carrying a nuke, yes I think it would be engaged, possibly even forcibly contacted by a satellite. The US, PRC, and Russia have all experimented with small satellite maneuvers around larger satellites, likely for the purposes of investigation and disabling.
China’s submarine force is predominantly SSKs Ill suited to hunting SSBNs in open water, both because of endurance/range and sensor suit. It’s SSN force is generally not considered as advanced as the Soviets before the Cold War ended, and in any case numbers a half dozen platforms. Trident II D5 is credited with anywhere from 7000-11,000km (numbers classified and variable with payload). Take a look at how much of the Pacific that would include.
China’s submarine force is predominantly SSKs Ill suited to hunting SSBNs in open water, both because of endurance/range and sensor suit. It’s SSN force is generally not considered as advanced as the Soviets before the Cold War ended, and in any case numbers a half dozen platforms. Trident II D5 is credited with anywhere from 7000-11,000km (numbers classified and variable with payload). Take a look at how much of the Pacific that would include.