Combining Rescore Query with Highlight Query

I'm trying to apply Highlight Query and want to give more score to the number of fields highlighted by the highlight query than the term frequency on a field.

For example:
DOC 1:
{
"first_name": "John"
"last_name": "Smith"
"full_name": "John Smith"
}

DOC 2:    
{
"first_name": "John"
"last_name": "Stokes"      
"full_name": "John Smith John Smith"
    }

When I search using the full_name field, I want DOC1 should be the first match. This is my query.
{
"query": {
"query_string": {
"query": "John Smith",
"fields": [
"full_name"
],
"use_dis_max": true,
"tie_breaker": 0,
"default_operator": "or",
"auto_generate_phrase_queries": false,
"max_determinized_states": 10000,
"enable_position_increments": true,
"fuzziness": "AUTO",
"fuzzy_prefix_length": 0,
"fuzzy_max_expansions": 50,
"phrase_slop": 0,
"escape": false,
"split_on_whitespace": true,
"boost": 1
}
},
"rescore": {
"window_size": 50,
"query": {
"score_mode": "multiply",
"rescore_query": {
"function_score": {
"script_score": {
"script": {
"source": "1"
}
}
}
},
"rescore_query_weight": 10
}
},
"highlight": {
"pre_tags": [
""
],
"post_tags": [
"
"
],
"highlight_query": {
"query_string": {
"query": "John Smith",
"fields": [
"full_name"
],
"use_dis_max": true,
"tie_breaker": 0,
"default_operator": "or",
"auto_generate_phrase_queries": false,
"max_determinized_states": 10000,
"enable_position_increments": true,
"fuzziness": "AUTO",
"fuzzy_prefix_length": 0,
"fuzzy_max_expansions": 50,
"phrase_slop": 0,
"escape": false,
"split_on_whitespace": true,
"boost": 1
}
},
"require_field_match": false,
"fields": {
"*": {
"fragment_size": 300,
"number_of_fragments": 1
}
}
}
}

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