Fly to Tumbes for the northern coast and plan the hotel transfer separately. Landing is not yet arriving at the beach.
LATAM offers Lima–Tumbes flights. This makes Tumbes a possible start for the mangroves and onward travel to the coast. Decide where you will stay first; otherwise you are comparing flights without knowing the drive that follows.
Use arrival day for the flight, hotel transfer and settling in. Give a mangrove outing its own space the following day.
It can be part of your plan, but arrange the road transfer separately. Agree the pickup point, destination, price and what happens if the flight is delayed.
No. Compare other arrival options from the exact hotel address too. The cheapest flight is not necessarily the most convenient whole journey.
Background on the subjects covered here.