Do you still really want to work L&D? Your first post didn't really say. Did you like it the first time? Did it seem like a good fit for you? Did you leave that job on good terms with the management team. What were their impressions of your performance? Did they understand your reasons for leaving the first time?
If you were doing well in L&D and left on good terms with the management, there is no reason not to re-apply if that is the field that interests you most. Be prepared to discuss why you left the first time and reassure them that you are now in a position to fully commit to the job. However, if you were not doing well and/or left on negative terms, they would be unlikely to hire you again.
LTC is a very different environment from L&D. If that is the type of care that most interests you, go there. Only you can figure out which type of care interests you most.