Re: Destination NAT, JSRX210, rule-set rs1 and rule-set rs2 have same context. error: configuration check-out failed

You almost have it.  There is only one rule set per context for zone to zone transit.  Within the rule set you can have multiple rules.

Change your additions as follows:

set rule-set rs1 rule r3 match destination-address x.x.x.x
set rule-set rs1 rule r3 match destination-port 61443
set rule-set rs1 rule r3 then destination-nat pool dst-nat-pool-esxi1-idrac6

set rule-set rs1 rule r4 match destination-address x.x.x.x
set rule-set rs1 rule r4 match destination-port 62443
set rule-set rs1 rule r4 then destination-nat pool dst-nat-pool-esxi2-idrac6
exit