Iteration over key-value for MultiKeyMap is similar to hash map:
    MultiKeyMap<String, String> multiKeyMap = new MultiKeyMap();
    multiKeyMap.put( "a1", "b1", "c1", "value1");
    multiKeyMap.put( "a2", "b2", "c2", "value1");
    for(Map.Entry<MultiKey<? extends String>, String> entry: multiKeyMap.entrySet()){
        System.out.println(entry.getKey().getKey(0)
                +" "+entry.getKey().getKey(1)
                +" "+entry.getKey().getKey(2)
                + " value: "+entry.getValue());
    }
For your second request you can write your own method based on the previous iteration.
public static Set<Map.Entry<MultiKey<? extends String>, String>> match2Keys(String first, String second,
                                                                                MultiKeyMap<String, String> multiKeyMap) {
        Set<Map.Entry<MultiKey<? extends String>, String>> set = new HashSet<>();
        for (Map.Entry<MultiKey<? extends String>, String> entry : multiKeyMap.entrySet()) {
            if (first.equals(entry.getKey().getKey(0)) 
                && second.equals(entry.getKey().getKey(1))) {
                set.add(entry);
            }
        }
        return set;
    }