Air carrier pilot reported a bounced landing followed by a go-around and temporary loss of aircraft control in turbulent conditions.

Narrative

During a visual approach to landing; the crew was instructed to fly 170 knots to the final approach fix and was cleared to land. The aircraft was configured as directed. The pilot monitoring (PM) noted the pilot flying (PF) called for flight spoilers 0; flaps 45 before landing check. The PM inquired if the PF preferred 30; and the PF then called for that configuration.The approach was made more challenging by thermal activity. The aircraft was fully configured by 1000; and the landing proceeded. The aircraft floated and touched down further along the runway than anticipated; though still within the first third. Following a bounce; the PM called for a go-around; and the PM took control to execute it.The go-around resulted in a high workload for both pilots. The PM experienced significant task saturation despite pre-briefed go-around callouts and actions. The PF also became task-saturated due to the need to communicate on the radio and fly the aircraft.The crew received vectors for the parallel runway; further increasing workload. After setting up and briefing for the second approach; air traffic control instructed the aircraft to maintain 8000 feet until established on the approach and cleared to land. Once established; the aircraft descended below 8000 feet prior to the expected point at the penultimate fix; where the descent was arrested. Air traffic control did not query this altitude deviation.The crew received clearance to land and configured the aircraft by 1000 feet above ground level. During this approach; thermal activity was again present; resulting in the descent rate momentarily exceeding 1000 feet per minute on two occasions. The pilot flying made immediate corrections and called out the deviations. The aircraft landed safely; and a thorough debriefing was conducted afterward.Cause: New pilots in 121 operations.Suggestions: Do not stop making control inputs just because the aircraft has landed.