COUNTIFS is counting my blank, text fields

I'm trying to use the COUNTIFS function to count items based on a date (column H), either 7 days before action is due, or at or more than 30 days. There are also two other variables to the function. If column I is "Y", then don't count H. If column J is a date, then don't count H. My problems are: it's counting blank cells in H (" " as a formula result) and it's not decreasing the count for entries in I or J.

Here's the last entry I tried
=COUNTIFS(H:H,"<B2-7",H:H,"<>" & " ",I:I,"<> Y",J:J,"<> 0")

I'm out of ideas.

Try:

=COUNTIFS(H:H,"<"&B2-7,H:H,">0",I:I,"<>Y",J:J,"")

and

=COUNTIFS(H:H,"<"&B2,H:H,"<>" & " ",I:I,"<>Y",J:J,"")

watch the spaces you had "<> Y" and also when referencing a cell for the criteria it is not within quotes....