Plantar fasciitis. Any weight bearing exercise can aggregate symptoms if proper stretching is not done first or if shoes do not provide proper support. Symptoms are often aggregated by poor shoe choices when working or going without shoes at home rather than specific exercises. Pain often persists or worsens because of daily activities rather than exercises. If an activity is painful listen to your body and stop.
To tolerance. You may participate in any activity you wish to your pain tolerance. However, many high impact activities without proper support of the arch can easily cause an increase in symptoms.
Anything on feet!? Try and stay off your feet, or if you can't go and get fitted for a proper shoe.