Compression and transmission are two fundamental stages involved in wireless video communications, each of which may cause degradation of the quality of experience (QoE) of end users by producing compression artifacts and packet loss artifacts, respectively. They have their own unique perceptual influences. To provide insight for designing QoE-aware content delivery applications, this paper studies subjective and objective quality of videos containing both types of artifacts. First, subjective quality assessment is conducted, from which interaction between the two types of artifacts during quality perception is investigated. Second, using the subjective data, the performance of the state-of-the-art objective quality metrics is evaluated, with the aim of examining suitability of the existing metrics for their use in error-prone video communication applications. Finally, the developed data set is made publicly available for the community.