Yes, it should be ok. Hydromorphone is a type of opioid, which do not interact with ibuprofen. It should be safe to take in addition to the Hydromorphone as long as you stick to recommended doses.
Yes, ibuprofen and most "NSAIDS (non-steroidal anti-inflammatory agents) like naproxen
can be taken with the majority of antihypertensive agents, though some nephrologists feel that they should be...
Yes they can be taken together, however NSAIDs like ibuprofen can lower the effectiveness of drugs like Atenolol. There is some debate on the topic, contacting your doctor is always the best...