Search string for a substring - indexOf
Your code is pretty neat, and well structured. I like the variable names. There are a number of problems to point out, though...


splitting the string is a huge "cheat".... if you're going to use regex, you may as well just match for the substring.
splitting the strings is also slow. Just use an index in to the string and the string[indx] operator. You can remove the h and n and h_len and n_len variables as well then.
your outer loop can terminate at h_len - n_len - there's no need to loop to the end when a match would be impossible


You have some bugs.... like:


your needle cannot contain the same letter as the start letter in a another place... For example, your code will fail to find cec. This is because you do weird logic here: if (h[i] == n[0]) ... I am not sure why that's needed.... other than to reset the search?
related to the above, you cannot backtrack and reset a search in the event that the search pattern starts part way through a partial match....


Even when you resolve the above issues, your algorithm is considered 'naive'. There are two commonly used algorithms that are considered better. The Rabin–Karp algorithm is simpler to implement because you just create a hash of the needle, and then a matching rolling-hash in the haystack. If you find the hash in the haystack you can confirm a match, and return, in what is effectively \$O(n+m )\$. A more complicated, but also more efficient algorithm is the Boyer-Moore algorithm which creates a "jump table" from the needle, which allows you to 'skip' values in the haystack based on the details in the needle. It is efficient, and, the longer the needle, the more you can skip.