Image courtesy : Saurabh Saxena - https://puratattva.in/
Right hand side of the statue is damaged. On the left hand side, top most hand is holding a bow, which is usually how Lord Rama is depicted. The hand below the bow is holding one of the usual artefacts of Vishnu, the conch shell. The bottom right hand is holding the Japamala - the prayer beads.
Image courtesy : Saurabh Saxena - https://puratattva.in/ The hands of the deity are holding artifacts pertaining to both Vishnu and Shiva. Of Vishnu, there is the conch and the discus and of Shiva there is the drum and noose. Additionally, one of the artifacts in hand is a Japamala - the prayer beads.
Image courtesy : Saurabh Saxena - https://puratattva.in/ The deity here could be Parashurama, since his weapon is an axe. Him being an incarnation of Vishnu, the deity is also shown with conch and discus.