Does dukkha apply to name-and-form? That is to say, anicca and anatta obviously apply to all 5 skandhas, but 'stress/suffering' is a psychological phenomenon. Is it the 'name' within name-and-form that links it back to dukkha?
'Dukkha' as one of the three characteristics is not a psychological phenomenon (unlike 'dukkha' in the four noble truths). As one of the three characteristics, 'dukkha' means 'unsatisfactoriness', namely, the inherent inability of impermanent conditioned things to bring lasting happiness. 

For example, apples, motor cars &amp; cocaine are 'unsatisfactory' because there is no characteristic within those things that can bring lasting happiness. 

The following correct translation makes the different usages of 'dukkkha' clear:


  Sabbe baṅkhārā dukkhā'ti yadā paññāya passati Atha nibbindati dukkhe esa maggo visuddhiyā. 
  
  "All conditioned things are unsatisfactory" — when one sees this with wisdom, one turns away from suffering. This is the path to
  purification.
  
  Dhammapada 278 translated by Acharya Buddharakkhita


As for 'nama', for Buddhist purposes, it is defined in the suttas (SN 12.2; MN 9; etc) as the 'mentality' or 'mental faculties' of feeling, perception, intention, contact &amp; attention and also mindfulness, zeal, energy, decision, etc (MN 111). 

'Nama' for the purpose of converting &amp; teaching Brahmans (eg. DN 15, DN 11, SN 7.6), namely, 'name', is not for Buddhist purposes &amp; should be ignored by those wanting to comprehend Buddhism.

In other words, in the context of Buddhist suttas such as SN 12.2, MN 9, etc, 'name-form' is an incorrect translation. The correct translation here should be 'mentality-materiality'. 

'Name-form' is only a correct translation for Brahman suttas, such as DN 15, DN 11, SN 7.6, etc. 

Thus, in terms of the three characteristics, nama-rupa is dukkha (unsatisfactory); just as SN 22.85 states the five aggregates of a Buddha are unsatisfactory (dukkha). 

However, in terms of the four noble truths, nama-rupa is not dukkha because the 1st noble truth summarises all psychological dukkha as attachment (upadana) to the five aggregates.