This is a radical change, if I may call it from being a computer engineer to Psychology or counseling. It may be that given your situation, the other option looks very inviting. It's not an easy world out there, especially for beginners.
There is a difference between having the passion and having the aptitude for counseling or Psychology. I would suggest a couple of weeks of 'shadowing' or working with a counselor or psychologist to have a practical insight into the real world. Once you are sure that, yes it's my cup of tea then choose you the options. Counselling courses are plenty ( diploma in counseling skills, parent & child counseling, counseling for school, nicotine and substance addiction etc). Medico social worker course is also good if you can focus on building your skills to be a financial counselor or a transplant coordinator, as plenty of corporate hospitals are around where in health care is expensive and organ transplant has expanded tremendously. You can find yourself being a key person in a large team bridging the gap between patient families and medical teams.
Psychology opens doors for an individual practice, academic jobs in large teaching colleges or even paving the way for highly specialized sub-divisions ( Forensic Psychology ). I would suggest a short attachment with a counselor or a psychologist or a center in the above will go a long way in you choosing what would be the best.
Most importantly you will get a feedback from the teams in the professional as to whether you have an aptitude and yes you can have a future as a counselor or a psychologist. This is thinking is key before you take the jump