Yes, both HelpDesk and Jira offer a Free Trial.
HelpDesk is designed for Large Enterprises, Medium Business and Small Business.
Jira is designed for Large Enterprises, Medium Business and Small Business.
Pricing for HelpDesk Starts at $29/User/Month when Billed Yearly whereas for Jira Starts at $6.25/User/Month when Billed Yearly.
Some top alternatives to HelpDesk includes Zendesk Support, Zoho Desk, Tidio Helpdesk, Freshservice, Freshdesk, SupportBee, Teamwork Desk, SysAid, Jitbit Helpdesk, Snappy, Helpspot, ReadyDesk, HelpdeskEddy, Help Desk Premier, Support.cc by 500apps and BoldDesk.
Some top alternatives to Jira includes Trello, Confluence, Asana, SwiftKanban, Kanbanize, ClickUp, Height, Kanban Tool, Kanban Zone and KanbanFlow.